Trigonometric Ratios Activity: Build angles and read sine/cosine geometrically

This example demonstrates, with an interactive geometric setup, how trigonometric ratios (e.g., sine, cosine, tangent) can be understood from an angle and the corresponding side-length relationships in the constructed figure. It focuses on the geometric definitions of trigonometric functions using opposite/adjacent/hypotenuse ratios, angle measurement, and the way these ratios are determined by the configuration of lines and constructed segments. The construction is built using GeoGebra commands and objects from the provided summary: Point to place key vertices, Line and Ray to form the sides/arms of the angle, OrthogonalLine to drop perpendiculars and establish a right-triangle framework, Intersect to compute intersection points, Polygon to outline the relevant triangle/polygon, and Angle to measure and display the key angle(s) (labeled like α, β, γ). Additional text labeling objects are used to present ratio-related quantities or labels clearly. Suitable for middle school to high school learners studying trigonometry and for classroom exploration where students connect algebraic ratios to geometric meaning.